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Finding the Fourth Proportional to 202.59, 305.06 and 148.86

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Solution

The fourth proportional to 202.59, 305.06 and 148.86 is: 224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 305.06 = 148.86 : x
  2. Step 2: Convert to fraction form
    202.59/305.06 = 148.86/x
  3. Step 3: Cross multiply
    202.59x = 305.06 × 148.86
  4. Step 4: Simplify right side
    202.59x = 45,410.49
  5. Step 5: Solve for x
    x = 45,410.49/202.59
  6. Step 6: Final answer
    x = 224.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.